Line slope calculator 3x-2y=3


Enter coordinates of two different points:

Straight line given by points A[1; 0] and B[3; 3]

Calculation:

Slope-intercept form of line: y = 1.5x-1.5

Canonical form of the line equation: 3x-2y-3 = 0

Parametric form of the line equation:
x = 2t+1
y = 3t      ; t ∈ R

Slope: m = 1.5

Slope angle of line: φ = 56°18'36″ = 0.9828 rad

X intercept: x0 = 1

Y intercept: y0 = q = -1.5

Distance line from the origin: d0 = 0.8321

The length of the segment AB: |AB| = 3.6056

Vector: AB = (2; 3)

Normal vector: n = (3; -2)

Midpoint of the segment AB: M = [2; 1.5]

Perpendicular Bisector equation: 2x+3y-8.5 = 0


Vector OA = (1; 0) ;   |OA| = 1
Vector OB = (3; 3) ;   |OB| = 4.2426
Scalar product OA .OB = 3
Angle ∠ AOB = 45° = 0.7854 rad